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Gauge-invariant electromagnetic response of a chiral<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>p</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>i</mml:mi><mml:msub><mml:mi>p</mml:mi><mml:mi>y</mml:mi></mml:msub></mml:mrow></mml:math>superconductor
We present a gauge-invariant theory of the electromagnetic response of a chiral ${p}_{x}+i{p}_{y}$ superconductor in the clean limit. Due to the spontaneously broken time-reversal symmetry, the effective action of the system contains an anomalous term not present in conventional superconductors. As a result, the electromagnetic charge and current responses contain …